| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
The dimensions of this cube are height (h) = 2, length (l) = 5, and width (w) = 3. What is the volume?
| 63 | |
| 30 | |
| 24 | |
| 72 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 5 x 3
v = 30
What is 6a + 6a?
| 12 | |
| 12a2 | |
| a2 | |
| 12a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a + 6a = 12a
Simplify (y - 1)(y + 6)
| y2 + 7y + 6 | |
| y2 - 7y + 6 | |
| y2 + 5y - 6 | |
| y2 - 5y - 6 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 1)(y + 6)
(y x y) + (y x 6) + (-1 x y) + (-1 x 6)
y2 + 6y - y - 6
y2 + 5y - 6
If the base of this triangle is 2 and the height is 9, what is the area?
| 49 | |
| 78 | |
| 9 | |
| 75 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 9 = \( \frac{18}{2} \) = 9
Which of the following statements about a triangle is not true?
area = ½bh |
|
exterior angle = sum of two adjacent interior angles |
|
sum of interior angles = 180° |
|
perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.